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Finding the Fourth Proportional to 7,315.82, 10,975.42 and 2,385.44

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Solution

The fourth proportional to 7,315.82, 10,975.42 and 2,385.44 is: 3,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.82 : 10,975.42 = 2,385.44 : x
  2. Step 2: Convert to fraction form
    7,315.82/10,975.42 = 2,385.44/x
  3. Step 3: Cross multiply
    7,315.82x = 10,975.42 × 2,385.44
  4. Step 4: Simplify right side
    7,315.82x = 26,181,205.88
  5. Step 5: Solve for x
    x = 26,181,205.88/7,315.82
  6. Step 6: Final answer
    x = 3,578.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.